3978173160 has 192 divisors, whose sum is σ = 13954384080. Its totient is φ = 977080320.

The previous prime is 3978173131. The next prime is 3978173191. The reversal of 3978173160 is 613718793.

It can be written as a sum of positive squares in 8 ways, for example, as 71673156 + 3906500004 = 8466^2 + 62502^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3560922 + ... + 3562038.

Almost surely, 2^3978173160 is an apocalyptic number.

3978173160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3978173160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6977192040).

3978173160 is an abundant number, since it is smaller than the sum of its proper divisors (9976210920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3978173160 is a wasteful number, since it uses less digits than its factorization.

3978173160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 3978173160 is about 63072.7608401598. The cubic root of 3978173160 is about 1584.5084551521.

The spelling of 3978173160 in words is "three billion, nine hundred seventy-eight million, one hundred seventy-three thousand, one hundred sixty".